Answered: Situation 1 – A block of copper having…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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MATHEMATICS Situation 1 – A block of copper having a mass of 50 kg is drawn out to make 500m of wire of uniform cross-section. Given that the density of cooper is 8.91 g/cm3. Calculate the ff: 1. What is the volume of steel in cubicmeter? 2. What is the cross-sectional area of the wire is square millimeters? 3. What is the diameter of the wire? Situattion 2 – Solve the following geometry problems: 1. A cylinder is inscribed in a cube of side 2 m. find the volume inside the cube but outside the cylinder. 2. Given a cube of side 1m. 1. find the volume of the cone inscribed in this cube, with base of cone on one side of the cube. 3. The sides of a rectangular parallelepiped measure 3 cm, 4 cm and 6 cm. find the radius of the sphere that can circumscribe this solid. Situation 3 – Answer the following calculus problems: 1. A triangle in the first quadrant is bounded by the X and Y axes and a line that passes through (1,2). What is the slope of the line if the area of the triangle is to be minimum. 2. What is the nearest distance from the hyperbola x2-y2 = 4 to point (6,0)? 3. An inverted conical tank has a base radius of 10m and height of 20m. water flows out from the tank at 150 liters per second., how fast is the water surface falling when the depth of water in the tank is 8m.

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